INCOMPRESSIBLE FLOWS THROUGH A SOLID MATRIX WITH MASS EXCHANGE: THE DOUBLE SCALE APPROACH VERSUS MIXTURE THEORY

DOI10.1142/S0218202511004988zbMath1423.76422OpenAlexW2026100228MaRDI QIDQ3084655

Angiolo Farina, Fasano, Antonio

Publication date: 25 March 2011

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202511004988

zbMATH Keywords

Darcy's lawcontinuum mechanicsfree boundary problems

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Free boundary problems for PDEs (35R35) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (1)

CONTINUUM THERMODYNAMICS AND NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

Cites Work

• Modelling bioremediation of polluted soils in unsaturated condition and its effect on the soil hydraulic properties.
• On Darcy's law for growing porous media
• Incompressible porous media models by use of the theory of mixtures
• Thermodynamics of a continuum with internal constraints
• On thermomechanical restrictions of continua
• Fluid Dynamics / Strömungsmechanik
• DISCRETIZATION OF AN UNSTEADY FLOW THROUGH A POROUS SOLID MODELED BY DARCY'S EQUATIONS
• A CONSTRAINED MIXTURE MODEL FOR GROWTH AND REMODELING OF SOFT TISSUES
• ON A HIERARCHY OF APPROXIMATE MODELS FOR FLOWS OF INCOMPRESSIBLE FLUIDS THROUGH POROUS SOLIDS
• On the nature of constraints for continua undergoing dissipative processes
• ON BASIC EQUATIONS FOR MIXTURES

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